{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1486280e",
   "metadata": {},
   "source": [
    "# Solving nonlinear diffusion-reaction system with GAN-based FP and variational inference using different parameterizations \n",
    "\n",
    "We consider a one-dimensional nonlinear diffusion-reaction equation:\n",
    "\n",
    "$$D\\partial_x^2 u - k_r u^3 = f, x\\in[-1, 1], D=0.01, k_r=0.2$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "54563de9",
   "metadata": {},
   "outputs": [],
   "source": [
    "import neuraluq as neuq\n",
    "import neuraluq.variables as neuq_vars\n",
    "from neuraluq.config import tf\n",
    "\n",
    "import numpy as np\n",
    "import scipy.io as sio\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be586260",
   "metadata": {},
   "source": [
    "#### Common functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a4892744",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x25e5abe9a58>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot1d(x, y, x_test, y_test, y_samples, xlim=None, ylim=None, title=\"\", ylabel=\"\"):\n",
    "    y_mean = np.mean(y_samples, axis=0)\n",
    "    y_std = np.std(y_samples, axis=0)\n",
    "\n",
    "    plt.figure(figsize=(8, 6), dpi=80)\n",
    "    plt.plot(x, y, \"k.\", markersize=10, label=\"Training data\")\n",
    "    plt.plot(x_test, y_test, \"k-\", label=\"Exact\")\n",
    "    plt.plot(x_test, y_mean, \"r--\", label=\"Mean\")\n",
    "    plt.fill_between(\n",
    "        x_test.ravel(),\n",
    "        y_mean + 2 * y_std,\n",
    "        y_mean - 2 * y_std,\n",
    "        alpha=0.3,\n",
    "        facecolor=\"c\",\n",
    "        label=\"2 stds\",\n",
    "    )\n",
    "    plt.legend()\n",
    "    plt.xlabel(\"$x$\")\n",
    "    plt.ylabel(ylabel)\n",
    "    plt.xlim(xlim)\n",
    "    plt.ylim(ylim)\n",
    "    plt.title(title)\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "def load_data(noise):\n",
    "    data = sio.loadmat(\"../../dataset/FP_1D.mat\")\n",
    "    x_test, u_test, f_test = data[\"x_test\"], data[\"u_test\"], data[\"f_test\"]\n",
    "    idx = np.random.choice(100, 10, replace=False)\n",
    "    x_f_train, f_train = x_test[idx, ...], f_test[idx, ...]\n",
    "    f_train = f_train + noise*np.random.normal(size=f_train.shape)\n",
    "    return x_f_train, f_train, x_test, u_test, f_test\n",
    "\n",
    "\n",
    "def pde_fn(x, u):\n",
    "    D = 0.01\n",
    "    k = 0.2\n",
    "    u_x = tf.gradients(u, x)[0]\n",
    "    u_xx = tf.gradients(u_x, x)[0]\n",
    "    return D * u_xx - k * u**3\n",
    "\n",
    "\n",
    "np.random.seed(666)\n",
    "noise = 0.01\n",
    "x_f_train, f_train, x_test, u_test, f_test = load_data(noise)\n",
    "\n",
    "plt.plot(x_test, f_test)\n",
    "plt.plot(x_f_train, f_train, 'o')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdf4dd7c",
   "metadata": {},
   "source": [
    "#### Load pre-trained GAN-based FP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "57880783",
   "metadata": {},
   "outputs": [],
   "source": [
    "branch = neuq.utils.load_network(\n",
    "    file_name=\"../../dataset/pretrained_model/FP_1D/branch.npy\", activation=tf.tanh, resnet=True\n",
    ")\n",
    "_trunk = neuq.utils.load_network(\n",
    "    file_name=\"../../dataset/pretrained_model/FP_1D/trunk.npy\", activation=tf.tanh, resnet=False\n",
    ")\n",
    "\n",
    "# enforce boundary conditions\n",
    "def trunk(inputs):\n",
    "    return (inputs - 1) * (inputs + 1) * _trunk(inputs)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70318264",
   "metadata": {},
   "source": [
    "#### Bayesian inference with HMC, as a reference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "97a87565",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a MCMC method\n",
      "\n",
      "sampling from posterior distribution ...\n",
      "\n",
      "Finished sampling from posterior distribution ...\n",
      "\n",
      "Acceptance rate:  0.521\n"
     ]
    }
   ],
   "source": [
    "generator = neuq.surrogates.Generator(\n",
    "    branch=branch, trunk=trunk, variable_shape=[40]\n",
    ")\n",
    "prior = neuq.variables.const.Samplable(mean=0, sigma=1, shape=[40])\n",
    "process = neuq.process.Process(\n",
    "    surrogate=generator,\n",
    "    prior=prior,\n",
    ")\n",
    "\n",
    "likelihood = neuq.likelihoods.Normal(\n",
    "    inputs=x_f_train,\n",
    "    targets=f_train,\n",
    "    processes=[process],\n",
    "    pde=pde_fn,\n",
    "    sigma=0.01,\n",
    ")\n",
    "\n",
    "model = neuq.models.Model(\n",
    "    processes=[process],\n",
    "    likelihoods=[likelihood],\n",
    ")\n",
    "\n",
    "method = neuq.inferences.HMC(\n",
    "    num_samples=1000,\n",
    "    num_burnin=1000,\n",
    "    init_time_step=0.1,\n",
    "    leapfrog_step=50,\n",
    ")\n",
    "model.compile(method)\n",
    "\n",
    "samples, results = model.run()\n",
    "print(\"Acceptance rate: \", np.mean(results))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "285a8928",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_pred, = model.predict(x_test, samples, [process])\n",
    "f_pred, = model.predict(x_test, samples, [process], pde_fn=pde_fn)\n",
    "plot1d([], [], x_test, u_test, u_pred[..., 0], ylabel=\"$u$\", ylim=[-1, 1], title=\"HMC\")\n",
    "plot1d(x_f_train, f_train, x_test, f_test, f_pred[..., 0], ylabel=\"$f$\", ylim=[-1, 1], title=\"HMC\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b7999f1",
   "metadata": {},
   "source": [
    "#### Variational inference (VI) with different parameterized distributions\n",
    "\n",
    "1. Independent normal distribution, parameterized by its mean and standard deviation\n",
    "2. Independent Binomial distribution with fixed $p$, parametrized by its value."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5264f39",
   "metadata": {},
   "source": [
    "#### Independent Normal distribution "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "85e1fd54",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a VI method\n",
      "\n",
      "Iteration:  0 , loss:  1155.0166\n",
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      "Iteration:  19600 , loss:  23.242619\n",
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      "Iteration:  19800 , loss:  23.881634\n",
      "Iteration:  19900 , loss:  23.503788\n"
     ]
    }
   ],
   "source": [
    "prior = neuq.variables.const.Variational(mean=0, sigma=1.0, shape=[40], trainable=False)\n",
    "posterior = neuq.variables.const.Variational(mean=0, sigma=0.01, shape=[40], trainable=True)\n",
    "process = neuq.process.Process(\n",
    "    surrogate=generator,\n",
    "    prior=prior,\n",
    "    posterior=posterior,\n",
    ")\n",
    "\n",
    "likelihood = neuq.likelihoods.Normal(\n",
    "    inputs=x_f_train,\n",
    "    targets=f_train,\n",
    "    processes=[process],\n",
    "    pde=pde_fn,\n",
    "    sigma=0.01,\n",
    ")\n",
    "\n",
    "model = neuq.models.Model(\n",
    "    processes=[process],\n",
    "    likelihoods=[likelihood],\n",
    ")\n",
    "method = neuq.inferences.VI(\n",
    "    batch_size=128, num_samples=1000, num_iterations=20000,\n",
    ")\n",
    "model.compile(method)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "60696570",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = model.run()\n",
    "u_pred, = model.predict(x_test, samples, [process])\n",
    "f_pred, = model.predict(x_test, samples, [process], pde_fn=pde_fn)\n",
    "plot1d([], [], x_test, u_test, u_pred[..., 0], ylabel=\"$u$\", ylim=[-1, 1], title=\"VI Normal\")\n",
    "plot1d(x_f_train, f_train, x_test, f_test, f_pred[..., 0], ylabel=\"$f$\", ylim=[-1, 1], title=\"VI Normal\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f698a56",
   "metadata": {},
   "source": [
    "#### Independent Bernoulli distribution with fixed $p$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "7485cae7",
   "metadata": {},
   "outputs": [],
   "source": [
    "class Bernoulli(neuq.variables._Variational):\n",
    "    \n",
    "    def __init__(self, value, p=0.2, shape=[], initializer=None):\n",
    "        super().__init__()\n",
    "        if initializer is None:\n",
    "            init = tf.keras.initializers.constant(value=value)\n",
    "        else:\n",
    "            init = initializer\n",
    "        self.v = tf.Variable(init(shape=shape), tf.float32)\n",
    "        self.p = p\n",
    "        \n",
    "        self._trainable_variables = [self.v]\n",
    "        self._trainable = True\n",
    "    \n",
    "    def log_prob(self, samples):\n",
    "        # Note that this part in fact does not depend on the value of \n",
    "        # samples. It only depends on p, which is a fixed constant. Hence,\n",
    "        # we can also set it to any constant and the results would be the\n",
    "        # same.\n",
    "        num_success = tf.reduce_sum(tf.cast(samples[0]>0, tf.float32), axis=-1)\n",
    "        num_fail = self.v.shape[0] - num_success\n",
    "        return num_success * tf.math.log(1-self.p) + num_fail * tf.math.log(self.p)\n",
    "    \n",
    "    def sample(self, sample_shape):\n",
    "        v = tf.tile(self.v[None, ...], [sample_shape, 1])\n",
    "        return [v * tf.cast(tf.random.uniform(v.shape) > self.p, tf.float32)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "288e4cf7",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:From C:\\Users\\zouzo\\AppData\\Local\\Temp\\ipykernel_14300\\1886315546.py:2: The name tf.keras.initializers.random_normal is deprecated. Please use tf.compat.v1.keras.initializers.random_normal instead.\n",
      "\n",
      "WARNING:tensorflow:From C:\\Users\\zouzo\\anaconda3\\envs\\tf2\\lib\\site-packages\\keras\\initializers\\initializers_v1.py:160: calling RandomNormal.__init__ (from tensorflow.python.ops.init_ops) with dtype is deprecated and will be removed in a future version.\n",
      "Instructions for updating:\n",
      "Call initializer instance with the dtype argument instead of passing it to the constructor\n",
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a VI method\n",
      "\n",
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     ]
    }
   ],
   "source": [
    "prior = neuq.variables.const.Variational(mean=0, sigma=1.0, shape=[40], trainable=False)\n",
    "posterior = Bernoulli(value=0.0, p=0.5, shape=[40], initializer=tf.keras.initializers.random_normal())\n",
    "process = neuq.process.Process(\n",
    "    surrogate=generator,\n",
    "    prior=prior,\n",
    "    posterior=posterior,\n",
    ")\n",
    "\n",
    "likelihood = neuq.likelihoods.Normal(\n",
    "    inputs=x_f_train,\n",
    "    targets=f_train,\n",
    "    processes=[process],\n",
    "    pde=pde_fn,\n",
    "    sigma=0.01,\n",
    ")\n",
    "\n",
    "model = neuq.models.Model(\n",
    "    processes=[process],\n",
    "    likelihoods=[likelihood],\n",
    ")\n",
    "method = neuq.inferences.VI(\n",
    "    batch_size=128, num_samples=1000, num_iterations=20000,\n",
    ")\n",
    "model.compile(method)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5d2cd180",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = model.run()\n",
    "u_pred, = model.predict(x_test, samples, [process])\n",
    "f_pred, = model.predict(x_test, samples, [process], pde_fn=pde_fn)\n",
    "plot1d([], [], x_test, u_test, u_pred[..., 0], ylabel=\"$u$\", ylim=[-1, 1], title=\"VI Bernoulli\")\n",
    "plot1d(x_f_train, f_train, x_test, f_test, f_pred[..., 0], ylabel=\"$f$\", ylim=[-1, 1], title=\"VI Bernoulli\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "87b8484b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
